GCF and LCM Calculator Logo

What is the Least Common Multiple of 18695 and 18708?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least common multiple (LCM) of 18695 and 18708 is 349746060.

LCM(18695,18708) = 349746060

LCM Calculator and
and

Least Common Multiple of 18695 and 18708 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18695 and 18708, than apply into the LCM equation.

GCF(18695,18708) = 1
LCM(18695,18708) = ( 18695 × 18708) / 1
LCM(18695,18708) = 349746060 / 1
LCM(18695,18708) = 349746060

Least Common Multiple (LCM) of 18695 and 18708 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18695 and 18708. First we will calculate the prime factors of 18695 and 18708.

Prime Factorization of 18695

Prime factors of 18695 are 5, 3739. Prime factorization of 18695 in exponential form is:

18695 = 51 × 37391

Prime Factorization of 18708

Prime factors of 18708 are 2, 3, 1559. Prime factorization of 18708 in exponential form is:

18708 = 22 × 31 × 15591

Now multiplying the highest exponent prime factors to calculate the LCM of 18695 and 18708.

LCM(18695,18708) = 51 × 37391 × 22 × 31 × 15591
LCM(18695,18708) = 349746060